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Finding the Third Proportional to 1,165,310 and 1,831,101

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Solution

The third proportional to 1,165,310 and 1,831,101 is: 2,877,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,310 : 1,831,101 = 1,831,101 : x
  2. Step 2: Convert to fraction form
    1,165,310/1,831,101 = 1,831,101/x
  3. Step 3: Cross multiply
    1,165,310x = 1,831,101 × 1,831,101
  4. Step 4: Simplify right side
    1,165,310x = 3,352,930,872,201
  5. Step 5: Solve for x
    x = 3,352,930,872,201/1,165,310
  6. Step 6: Final answer
    x = 2,877,286.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.